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Finding the Fourth Proportional to 405.33, 607.21 and 231.48

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Solution

The fourth proportional to 405.33, 607.21 and 231.48 is: 346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.33 : 607.21 = 231.48 : x
  2. Step 2: Convert to fraction form
    405.33/607.21 = 231.48/x
  3. Step 3: Cross multiply
    405.33x = 607.21 × 231.48
  4. Step 4: Simplify right side
    405.33x = 140,556.97
  5. Step 5: Solve for x
    x = 140,556.97/405.33
  6. Step 6: Final answer
    x = 346.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.